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2 years ago

Is this true? And also how does the equation from y-3=3(x-4) become a positive y+3=3x-12?

Mathematics

1 answer:

EastWind [94]2 years ago

7 0

Step-by-step explanation:

the right equation is :

y-y1=m(x-x1)

y+3=3(x+4)

y+3= 3x+12

y=3x+12-3

y=3x+9

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madreJ [45]

Decrease 11.11%

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3 years ago

Read 2 more answers

Find the general indefinite integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.

Maru [420]

Answer:

$9\text{ln}|x|+2\sqrt{x}+x+C$

Step-by-step explanation:

We have been an integral $\int \frac{9+\sqrt{x}+x}{x}dx$ . We are asked to find the general solution for the given indefinite integral.

We can rewrite our given integral as:

$\int \frac{9}{x}+\frac{\sqrt{x}}{x}+\frac{x}{x}dx$

$\int \frac{9}{x}+\frac{1}{\sqrt{x}}+1dx$

Now, we will apply the sum rule of integrals as:

$\int \frac{9}{x}dx+\int \frac{1}{\sqrt{x}}dx+\int 1dx$

$9\int \frac{1}{x}dx+\int x^{-\frac{1}{2}}dx+\int 1dx$

Using common integral $\int \frac{1}{x}dx=\text{ln}|x|$ , we will get:

$9\text{ln}|x|+\int x^{-\frac{1}{2}}dx+\int 1dx$

Now, we will use power rule of integrals as:

$9\text{ln}|x|+\frac{x^{-\frac{1}{2}+1}}{-\frac{1}{2}+1}+\int 1dx$

$9\text{ln}|x|+\frac{x^{\frac{1}{2}}}{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2x^{\frac{1}{2}}+\int 1dx$

$9\text{ln}|x|+2\sqrt{x}+\int 1dx$

We know that integral of a constant is equal to constant times x, so integral of 1 would be x.

$9\text{ln}|x|+2\sqrt{x}+x+C$

Therefore, our required integral would be $9\text{ln}|x|+2\sqrt{x}+x+C$ .

4 0

2 years ago

A retail store is offering a series discount of 10/10 on a dishwasher with a list price of $346. Find the net cost after the ser

lutik1710 [3]

$346/100=$3.46 =1% of $346. So, giving 10% discount we $3.46*90=$311.40

Again, $311.40/100=$3.114, providing, 10% discount we get $3.114*90=$280.26.

The net cost after the series discount is $280.26

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3 years ago

PLEASE HELP HELP HELP HELP

Masja [62]

Answer: 12

Step-by-step explanation:

A polynomial is an expression that contains more than one number, letter, etc. so 12 is a monomial, because it only has one number. Hope this helps!!

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2 years ago

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding One-third the length of the directed lin

GrogVix [38]

The reason why partitioning and fractioning are different is because; The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4.

<h3>Why is partitioning different from fractioning?</h3>

It follows from the task content that a close analysis of the statement of ratios; 1:3 implies that the whole is divided into four parts; 1+3 = 4.

On the contrary, one-third simply means 1 out of 3 equal parts of the line.